A mathematical model of the Pyrosequencing reaction system

2004 ◽  
Vol 110 (1-2) ◽  
pp. 129-145 ◽  
Author(s):  
Anna Svantesson ◽  
Pål O. Westermark ◽  
Jeanette Hellgren Kotaleski ◽  
Baback Gharizadeh ◽  
Anders Lansner ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Reaction System

A mathematical model for bleb regulation in zebrafish primordial germ cells

2021 ◽  
Author(s):  
Carolin Dirks ◽  
Paul Striewski ◽  
Benedikt Wirth ◽  
Anne Aalto ◽  
Adan Olguin-Olguin
Keyword(s):  
Mathematical Model ◽  
Germ Cells ◽  
Primordial Germ Cells ◽  
Reaction System ◽  
Surface Model ◽  
Bulk Surface ◽  
Membrane Blebs ◽  
Bleb Formation ◽  
The Mathematical Model

Abstract Blebs are cell protrusions generated by local membrane–cortex detachments followed by expansion of the plasma membrane. Blebs are formed by some migrating cells, e.g. primordial germ cells of the zebrafish. While blebs occur randomly at each part of the membrane in unpolarized cells, a polarization process guarantees the occurrence of blebs at a preferential site and thereby facilitates migration toward a specified direction. Little is known about the factors involved in the controlled and directed bleb generation, yet recent studies revealed the influence of an intracellular flow and the stabilizing role of the membrane–cortex linker molecule Ezrin. Based on this information, we develop and analyse a coupled bulk-surface model describing a potential cellular mechanism by which a bleb could be induced at a controlled site. The model rests upon intracellular Darcy flow and a diffusion–advection–reaction system, describing the temporal evolution from a homogeneous to a strongly anisotropic Ezrin distribution. We prove the well-posedness of the mathematical model and show that simulations qualitatively correspond to experimental observations, suggesting that indeed the interaction of an intracellular flow with membrane proteins can be the cause of the Ezrin redistribution accompanying bleb formation.

scholarly journals Qualitative Study of a Well-Stirred Isothermal Reaction Model

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 938
Author(s):  
Barbara Arcet ◽  
Maša Dukarić ◽  
Zhibek Kadyrsizova
Keyword(s):  
Mathematical Model ◽  
Jacobian Matrix ◽  
Temporal Evolution ◽  
Sufficient Conditions ◽  
Reaction System ◽  
Reaction Model ◽  
Dimensional System ◽  
Two Dimensional ◽  
Isothermal Reaction ◽  
Two Dimensional System

We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of the Jacobian matrix of the system at its fixed points. Moreover, we show that the system admits a supercritical Hopf bifurcation.

scholarly journals Mathematical Modelling of Photocatalytic Hydrogen Production from Glucose on Ru-Doped LaFeO3

2017 ◽  
pp. 1-11
Keyword(s):  
Mathematical Model ◽  
Hydrogen Production ◽  
Irradiation Time ◽  
Reaction System ◽  
Glucose Consumption ◽  
Parameters Estimation ◽  
Model Parameters ◽  
Order Kinetic ◽  
Reaction Products ◽  
Experimental Conditions

In the present work the authors proposed a simplified mathematical model for the renewable hydrogen production by the photocatalytic degradation of glucose over an optimized Ru-doped LaFeO3 photocatalyst under UV irradiation emitted by light-emitting diodes (LEDs). To define the reaction system the analysis of liquid phase was coupled with the detection of reaction products in gaseous phase. The mathematical modeling of the system has been developed by using different kinetic approaches for glucose consumption. Model parameters estimation was realized by individuating the best agreement between the calculated values and experimental data as a function of irradiation time both for hydrogen production and glucose degradation degree evidencing that the best fitting has been obtained with zero order kinetic models. Finally, the accuracy of the model was tested in different experimental conditions, evidencing the ability of the mathematical model to be predictive.

scholarly journals A Mathematical Model of the Expansion Evolution of Magnesium Oxide in Mass Concrete Based on Hydration Characteristics

Materials ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3162
Author(s):  
Chuqiao Feng ◽  
Cheng Zhao ◽  
Xiaomin Yu ◽  
Jie Xiong ◽  
Longwen Tang
Keyword(s):  
Mathematical Model ◽  
Magnesium Oxide ◽  
Chemical Reaction ◽  
Reaction System ◽  
Arch Dam ◽  
Significant Feature ◽  
Hydration Reaction ◽  
Mass Concrete ◽  
Volumetric Deformation ◽  
Simulation Results

The low swelling property of magnesium oxide concrete is a significant feature that can be used to control the cracking of mass concrete. Based on the characteristics of the chemical reaction, this work proposes a coupled hydro-thermo-mechanical model that can be implemented with the finite element method for predicting the autogenous volumetric deformation of magnesium concrete. By introducing the degree of the hydration reaction of magnesia and the degree of the hydration reaction of cementitious materials as intermediate variables of the chemical reaction system, a prediction model of the concrete temperature and chemical fields is established, and using this model, the effect of the temperature on the reaction rate can be considered in real time. In addition, by combining the relationship between the degree of the hydration reaction of magnesium oxide and the comprehensive expansion of concrete, a mathematical model for calculating the expansion stress of magnesia concrete was established. The algorithms were derived by mathematical equations, and the simulation results were compared to the experimental temperature and autogenous volumetric strain curves, which showed that the hydration model provides a relatively high accuracy. The model was also applied to an arch dam, and the coupled thermo-chemical-mechanical responses of mass concrete during construction were investigated. Simulation results show that the increase in temperature (hydration of cementitious material) and expansion volumetric deformation (hydration of MgO) of the concrete on the upstream and downstream surfaces lags obviously behind that of the inner regions. Quantitative analysis for differences of internal and external expansion is worthy of further attention and study on a basis of further experimental data as well as monitored data.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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